中国物理B ›› 2014, Vol. 23 ›› Issue (11): 110308-110308.doi: 10.1088/1674-1056/23/11/110308

• GENERAL • 上一篇    下一篇

Three-dimensional solitons in two-component Bose-Einstein condensates

刘永恺a, 杨师杰a b   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China;
    b State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2014-04-25 修回日期:2014-06-27 出版日期:2014-11-15 发布日期:2014-11-15
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11374036) and the National Basic Research Program of China (Grant No. 2012CB821403).

Three-dimensional solitons in two-component Bose-Einstein condensates

Liu Yong-Kai (刘永恺)a, Yang Shi-Jie (杨师杰)a b   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China;
    b State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2014-04-25 Revised:2014-06-27 Online:2014-11-15 Published:2014-11-15
  • Contact: Yang Shi-Jie E-mail:yangshijie@tsinghua.org.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11374036) and the National Basic Research Program of China (Grant No. 2012CB821403).

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摘要：

We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R2× S1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional (3D) skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross-Pitaevskii equations in imaginary time.

关键词: two-component Bose-Einstein condensates, three-dimensional (3D) soliton, coupled Gross-Pitaevskii equations, Hopfion

Abstract:

We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R2× S1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional (3D) skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross-Pitaevskii equations in imaginary time.

Key words: two-component Bose-Einstein condensates, three-dimensional (3D) soliton, coupled Gross-Pitaevskii equations, Hopfion

中图分类号:  (Multicomponent condensates; spinor condensates)

  • 03.75.Mn
03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 67.85.Fg (Multicomponent condensates; spinor condensates)